# Question: Let P A 0 15 P B 0 10 and

Let P (A) = 0.15, P (B) = 0.10, and P (A ∩ B) = 0.05.

a. Are A and B independent events? Explain.

b. Are A and B mutually exclusive events? Explain.

c. What is the probability that neither A nor B takes place?

a. Are A and B independent events? Explain.

b. Are A and B mutually exclusive events? Explain.

c. What is the probability that neither A nor B takes place?

## Answer to relevant Questions

Consider the following probabilities: P(A) = 0.25, P(B c) = 0.40, and P(A ∩ B) = 0.08. Find:a. P(B)b. P(A | B)c. P(B | A)The probabilities that stock A will rise in price is 0.40 and that stock B will rise in price is 0.60. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.80.a. What is the ...A manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 15 parts in the shipment that would be suitable. He examines these parts one ...Consider the following contingency table.a. Convert the contingency table into a joint probability table.b. What is the probability that A occurs?c. What is the probability that A and B occur?d. Given that B has occurred, ...Let P (A) = 0.70, P (B | A) = 0.55, and P (B | Ac) = 0.10. Use a probability tree to calculate the following probabilities:a. P (Ac)b. P (A ∩ B) and P (Ac ∩ B)c. P (B)d. P (A | B)Post your question